Talk
We will work with conntected, orientable and closed manifolds. We describe the classification of surfaces in pictures and say that a surface has hyperbolic structure if .
We quickly define the Pullback of a Riemannsche Metrik. Or the Riemannsche Metrik itself? Now we define the curvature for surfaces embedded in three-space.
A surface has hyperbolic structure if it can be deformed into a surface with everywhere hyperbolic metric -1. We quickly describe Gauss-Bonnet-Theorem.
I think then we tried to find some fundamental domains in the hyperbolic place (which have constant hyperbolic metric 1)
We present an explicit octogon whose quotient is the two genus surface.